Question

brent wants to solve this system of equations using subtraction.
$4x - 5y = 11$
$8x - 5y = 27$
list the steps he should follow to solve the equations. what is the solution?

Explanation:

Step1: Subtract first equation from second

$$(8x - 5y) - (4x - 5y) = 27 - 11$$
$$8x -5y -4x +5y = 16$$
$$4x = 16$$

Step2: Solve for $x$

$$x = \frac{16}{4} = 4$$

Step3: Substitute $x=4$ into first equation

$$4(4) - 5y = 11$$
$$16 - 5y = 11$$

Step4: Isolate and solve for $y$

$$-5y = 11 - 16$$
$$-5y = -5$$
$$y = \frac{-5}{-5} = 1$$

Answer:

The solution to the system is $x=4$, $y=1$